What is the Greatest Common Factor of 83251 and 83265?

Greatest common factor (GCF) of 83251 and 83265 is 7.

GCF(83251,83265) = 7

We will now calculate the prime factors of 83251 and 83265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83251 and 83265.

How to find the GCF of 83251 and 83265?

We will first find the prime factorization of 83251 and 83265. After we will calculate the factors of 83251 and 83265 and find the biggest common factor number .

Step-1: Prime Factorization of 83251

Prime factors of 83251 are 7, 1699. Prime factorization of 83251 in exponential form is:

83251 = 7² × 1699¹

Step-2: Prime Factorization of 83265

Prime factors of 83265 are 3, 5, 7, 13, 61. Prime factorization of 83265 in exponential form is:

83265 = 3¹ × 5¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 83251

List of positive integer factors of 83251 that divides 83251 without a remainder.

1, 7, 49, 1699, 11893

Step-4: Factors of 83265

List of positive integer factors of 83265 that divides 83251 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 61, 65, 91, 105, 183, 195, 273, 305, 427, 455, 793, 915, 1281, 1365, 2135, 2379, 3965, 5551, 6405, 11895, 16653, 27755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83251 and 83265. The biggest common factor number is the GCF number.
So the greatest common factor 83251 and 83265 is 7.

Also check out the Least Common Multiple of 83251 and 83265